Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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HUGENII EXCEPSIO
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EXCERPTA EX LITERIS
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D
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. HUGENII
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DE RESPONSO, QUOD
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D
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. GREGORIUS
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DEDIT AD EXAMEN LIBRI, CUI TITULUS EST,
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VERA CIRCULI ET HYPERBOLÆ QUADRATURA.</
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<
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xml:space
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">In circuli quadraturam inquirentes Geometræ, va-
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ria & </
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<
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xml:space
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">quidem pulcherrima detexere, ideo ne u-
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tili exercitio deſtituantur adverſus Gregorium de-
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fendere conſtitui, quadraturam hanc detegi poſ-
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ſe; </
s
>
<
s
xml:id
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echoid-s4190
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xml:space
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">neque huc uſque reſponſionem hanc diſtuliſſem, niſi oc-
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caſione controverſiæ noſtræ examen ſuſcepiſſem exactiſſimum
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de proxima Circuli & </
s
>
<
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xml:space
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">Hyperboles Quadratura: </
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>
<
s
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xml:space
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">in quo me
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interpellarunt ſæpe alia impedimenta.</
s
>
<
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</
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<
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<
s
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xml:space
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">Dico nunc primo; </
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>
<
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xml:space
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">Quod ſpectat impoſſibilitatem analy-
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ticam quadraturæ illarum figurarum, tantum abeſſe etiam poſt
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ſupplementum demonſtrationum, quod D
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>
Gregorius dedit,
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impoſſibilitatem hanc bene probatam eſſe, ut adhuc dum in-
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certum maneat, num Circulus & </
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>
<
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xml:space
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">quadratum diametri ejus ſint
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incommenſurabilia, id eſt an non horum ratio per numeros
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poſſit exprimi; </
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>
<
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xml:space
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">quod etiam applicari poteſt portioni deter-
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minatæ Hyperboles & </
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>
<
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xml:space
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">figuræ huic inſcriptæ. </
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>
<
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xml:space
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">Quod ut demon-
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ſtremus ſufficit obſervaſſe; </
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>
<
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">quod XI ejus Propoſitio & </
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>
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xml:space
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">ſup-
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plementum nil probent quando in ejus ſerie convergen-
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te determinantur quantitates a & </
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>
<
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xml:space
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">b per numeros ra-
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tionales vel ſurdos; </
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<
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xml:space
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">quoniam tunc terminatio et-
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iam poterit eſſe numerus quidam ſimilis; </
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>
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trarium per illam propoſitionem demonſtrari non </
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